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Higher Plus

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10th September 1964

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 13 cm by 7 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

  2. 2
    Conditional Probability3 marks

    A bag holds 5 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?

  4. 4
    Surds3 marks

    Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).

  5. 5
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

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